Warner, who had cracked twin centuries in the first Test, was hit at the thumb by a rising delivery from India's pacer Umesh Yadav in their second innings today.
According to the medical staff, Warner's injury is not serious but they will keep a watch on him in the coming days.
However, Marsh, who suffered a hamstring injury during the match, is likely to be ruled out of the third Test. But Australia is expected to have the services of Ryan Harris, who was ruled out of the second Test after he picked up a slight quad strain after the first Test.
"I haven't spoken to Davey yet but he's a tough little character so I'm sure he will be eager to get stuck in on Boxing Day," captain Steve Smith was quoted as saying in Sydney Morning Herald.
"Mitch Marsh was struggling a bit with his running today so I think the physio will have a look at him over the next couple of days and make a decision."
With Marsh likely to be absent from the Boxing Day Test squad, selectors will now have to decide whether to get an all-rounder or a specialist batsman in his place when they announce the team tomorrow.
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